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Finding the Third Proportional to 236,130 and 509,575

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Solution

The third proportional to 236,130 and 509,575 is: 1,099,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,130 : 509,575 = 509,575 : x
  2. Step 2: Convert to fraction form
    236,130/509,575 = 509,575/x
  3. Step 3: Cross multiply
    236,130x = 509,575 × 509,575
  4. Step 4: Simplify right side
    236,130x = 259,666,680,625
  5. Step 5: Solve for x
    x = 259,666,680,625/236,130
  6. Step 6: Final answer
    x = 1,099,676.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.